dorsal/arxiv
View SchemaExtremely asymmetrical scattering of electromagnetic waves in gradually varying periodic arrays
| Authors | D. K. Gramotnev, T. A. Nieminen |
|---|---|
| Categories | |
| ArXiv ID | physics/0311136 |
| URL | https://arxiv.org/abs/physics/0311136 |
| DOI | 10.1088/1464-4258/1/5/310 |
| Journal | Journal of Optics A: Pure and Applied Optics 1, 635-645 (1999) |
Abstract
This paper analyses theoretically and numerically the effect of varying grating amplitude on the extremely asymmetrical scattering (EAS) of bulk and guided optical modes in non-uniform strip-like periodic Bragg arrays with stepwise and gradual variations in the grating amplitude across the array. A recently developed new approach based on allowance for the diffractional divergence of the scattered wave is used for this analysis. It is demonstrated that gradual variations in magnitude of the grating amplitude may change the pattern of EAS noticeably but not radically. On the other hand, phase variations in the grating may result in a radically new type of Bragg scattering - double-resonant EAS (DEAS). In this case, a combination of two strong simultaneous resonances (one with respect to frequency, and another with respect to the phase variation) is predicted to take place in non-uniform arrays with a step-like phase and gradual magnitude variations of the grating amplitude. The tolerances of EAS and DEAS to small gradual variations in the grating amplitude are determined. The main features of these types of scattering in non-uniform arrays are explained by the diffractional divergence of the scattered wave inside and outside the array.
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"abstract": "This paper analyses theoretically and numerically the effect of varying\ngrating amplitude on the extremely asymmetrical scattering (EAS) of bulk and\nguided optical modes in non-uniform strip-like periodic Bragg arrays with\nstepwise and gradual variations in the grating amplitude across the array. A\nrecently developed new approach based on allowance for the diffractional\ndivergence of the scattered wave is used for this analysis. It is demonstrated\nthat gradual variations in magnitude of the grating amplitude may change the\npattern of EAS noticeably but not radically. On the other hand, phase\nvariations in the grating may result in a radically new type of Bragg\nscattering - double-resonant EAS (DEAS). In this case, a combination of two\nstrong simultaneous resonances (one with respect to frequency, and another with\nrespect to the phase variation) is predicted to take place in non-uniform\narrays with a step-like phase and gradual magnitude variations of the grating\namplitude. The tolerances of EAS and DEAS to small gradual variations in the\ngrating amplitude are determined. The main features of these types of\nscattering in non-uniform arrays are explained by the diffractional divergence\nof the scattered wave inside and outside the array.",
"arxiv_id": "physics/0311136",
"authors": [
"D. K. Gramotnev",
"T. A. Nieminen"
],
"categories": [
"physics.optics"
],
"doi": "10.1088/1464-4258/1/5/310",
"journal_ref": "Journal of Optics A: Pure and Applied Optics 1, 635-645 (1999)",
"title": "Extremely asymmetrical scattering of electromagnetic waves in gradually varying periodic arrays",
"url": "https://arxiv.org/abs/physics/0311136"
},
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